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Finding the Fourth Proportional to 7,576.66, 11,364.73 and 2,311.46

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Solution

The fourth proportional to 7,576.66, 11,364.73 and 2,311.46 is: 3,467.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,576.66 : 11,364.73 = 2,311.46 : x
  2. Step 2: Convert to fraction form
    7,576.66/11,364.73 = 2,311.46/x
  3. Step 3: Cross multiply
    7,576.66x = 11,364.73 × 2,311.46
  4. Step 4: Simplify right side
    7,576.66x = 26,269,137.29
  5. Step 5: Solve for x
    x = 26,269,137.29/7,576.66
  6. Step 6: Final answer
    x = 3,467.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.